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math.GR2019★ 1 cited
Homogeneity of torsion-free hyperbolic groups
Ayala Dente-Byron, Chloé Perin
We give a complete characterization of torsion-free hyperbolic groups which are homogeneous in the sense of first-order logic, in terms of the JSJ decompositions of their free fact…
math.LO2019★ 1 cited
Elementary subgroups of the free group are free factors - a new proof
Chloé Perin
In this note we give a new proof of the fact that an elementary subgroup (in the sense of first-order theory) of a non abelian free group must be a free factor. The pr…